What is the surface area of a right rectangular prism where each edge length measures 15.10 cm
A right rectangular prism has six faces, consisting of three pairs of congruent rectangles.
Since all edge lengths of the prism measure 15.10 cm, the two dimensions of each rectangle on the prism can be determined to be 15.10 cm by 15.10 cm.
Therefore, the surface area of the prism can be calculated by finding the area of each of the six rectangles and summing them up.
Each rectangular face has an area of 15.10 cm x 15.10 cm = 228.01 square cm.
Since there are six faces, the total surface area of the prism is 6 x 228.01 square cm = 1,368.06 square cm.
Therefore, the surface area of the right rectangular prism is 1,368.06 square cm.
To find the surface area of a right rectangular prism, you need to calculate the area of each of its six faces and then add them up.
The formula for finding the surface area of a rectangular prism is:
Surface Area = 2(lw + lh + wh)
Given that each edge length measures 15.10 cm, let's substitute the value into the formula:
Surface Area = 2(15.10 × 15.10 + 15.10 × 15.10 + 15.10 × 15.10)
Now, let's simplify the equation:
Surface Area = 2(228.01 + 228.01 + 228.01)
Surface Area = 2(684.03)
Surface Area = 1368.06 cm²
Therefore, the surface area of the right rectangular prism is 1368.06 cm².